1728716000 has 192 divisors, whose sum is σ = 4691494080. Its totient is φ = 620800000.

The previous prime is 1728715997. The next prime is 1728716021. The reversal of 1728716000 is 6178271.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4443806 + ... + 4444194.

It is an arithmetic number, because the mean of its divisors is an integer number (24434865).

Almost surely, 2^1728716000 is an apocalyptic number.

1728716000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345747040).

1728716000 is an abundant number, since it is smaller than the sum of its proper divisors (2962778080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728716000 is a wasteful number, since it uses less digits than its factorization.

1728716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 1728716000 is about 41577.8306312390. The cubic root of 1728716000 is about 1200.1657178543.

It can be divided in two parts, 172871 and 6000, that added together give a palindrome (178871).

The spelling of 1728716000 in words is "one billion, seven hundred twenty-eight million, seven hundred sixteen thousand".